The region between the curves and on is revolved about the -axis
MATHEMATICS · Subjective · AP · Calculus AB · Applications of Integration · Applications of Integration
Problem
The region between the curves y=x and y=x2 on 0≤x≤1 is revolved about the x-axis. Decide whether computing the volume requires (i) integrating only filled disks, (ii) integrating only hollow washers, or (iii) using disks on part of the interval and washers on the rest. Justify your choice concisely.